Global moduli for elliptic surfaces with a section

Wolfgang K. Seiler

Compositio Mathematica (1987)

  • Volume: 62, Issue: 2, page 169-185
  • ISSN: 0010-437X

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Seiler, Wolfgang K.. "Global moduli for elliptic surfaces with a section." Compositio Mathematica 62.2 (1987): 169-185. <http://eudml.org/doc/89838>.

@article{Seiler1987,
author = {Seiler, Wolfgang K.},
journal = {Compositio Mathematica},
keywords = {existence of moduli space for elliptic surface; global coarse moduli; genus; invariant theory; elliptic surfaces with a section},
language = {eng},
number = {2},
pages = {169-185},
publisher = {Martinus Nijhoff Publishers},
title = {Global moduli for elliptic surfaces with a section},
url = {http://eudml.org/doc/89838},
volume = {62},
year = {1987},
}

TY - JOUR
AU - Seiler, Wolfgang K.
TI - Global moduli for elliptic surfaces with a section
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 62
IS - 2
SP - 169
EP - 185
LA - eng
KW - existence of moduli space for elliptic surface; global coarse moduli; genus; invariant theory; elliptic surfaces with a section
UR - http://eudml.org/doc/89838
ER -

References

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  1. Ega A. Grothendieck and J. Dieudonné: Eléments de géométrie algébrique. ISpringer Grundlehren166 (1971), III 2 Publ. Math. IHES17 (1963). Zbl0203.23301MR163911
  2. FGA Fondements de la géométrie algébrique. (extraits du Sém. Bourbaki)Sécrétariat Math., Paris (1962). Zbl0239.14002
  3. SGA I Revêtements étales et groupe fondamental, Springer Lecture Notes224 (1971). Zbl0234.14002MR354651
  4. 1. P. Deligne and D. Mumford: The irreducibility of the space of curves of given genus. Publ. Math. IHES36 (1969) 75-110. Zbl0181.48803MR262240
  5. 2. E. Formanek and C. Procesi: Mumford's conjecture for the general linear group. Adv. Math.19 (1976) 292-305. Zbl0346.20021MR404279
  6. 3. W.J. Haboush: Reductive groups are geometrically reductive. Ann. Math.102 (1975) 67-83. Zbl0316.14016MR382294
  7. 4 A. Kas: Weierstraß normal forms and invariants of elliptic surfaces. Trans. AMS225 (1977) 251-266. Zbl0402.14014MR422285
  8. 5 R. Miranda: On the stability of pencils of cubic curves. Am. J. Math.102 (1980) 1177-1202. Zbl0468.14009MR595010
  9. 6 R. Miranda: The moduli of Weierstraß fibrations over P1. Math. Ann.255 (1981) 379-394. Zbl0438.14023MR615858
  10. 7 R. Miranda: Projectively unstable elliptic surfaces. Ill. J. Math.27 (1983) 404-420. Zbl0494.14004MR698304
  11. 8 D. Mumford: Abelian varieties. Oxford (1974). Zbl0326.14012
  12. 9 D. Mumford: Stability of projective varieties. Ens. Math.XXIII (1977) 39-110. Zbl0363.14003MR450272
  13. 10 D. Mumford and J. Fogarty: Geometric invariant theory. Erg. Math.34 (1982). Zbl0504.14008MR719371
  14. 11 D. Mumford and K. Suominen: Introduction to the theory of moduli. In: F. Oort (ed.) Algebraic Geometry, Oslo1970, pp. 171-222. Wolters-Noordhoff (1972). Zbl0242.14004MR437531
  15. 12 I.R. Šafarevič: Basic algebraic geometry. Springer (1977). Zbl0362.14001MR447223
  16. 13 C.S. Seshadri: Geometric reductivity over arbitrary base. Adv. Math.26 (1977) 225-274. Zbl0371.14009MR466154
  17. 14 W.K. Seiler: Moduln elliptischer Flächen mit Schnitt, thesis, Karlsruhe (1982). Zbl0515.14020

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